please could you check my answers and fix them if needed?
label each statement true or false . if false correct the underlined portion
A. if 3 < x then
this underlined 3 + y<x+y i put true
B. if this underlined |w-7|< -3 then w - 7 > -3 or w - 7 < 3 I put true
thank you ann
true, true
thank you very much for your help.
ann
A. The statement is true. No correction needed.
B. The statement is false. The correct statement should be: if |w-7|< -3, then there are no possible values for w that satisfy the inequality.
A. If 3 < x, then 3 + y < x + y.
Your answer: True
Explanation: This statement is true. When you have an inequality, like 3 < x, you can add the same expression to both sides of the inequality. In this case, adding y to both sides gives you 3 + y < x + y.
B. If |w - 7| < -3, then w - 7 > -3 or w - 7 < 3.
Your answer: True
Explanation: This statement is false. When you have an absolute value inequality, like |w - 7| < -3, it is not possible for the inequality to be true. Absolute values are always non-negative, so the expression |w - 7| can never be less than a negative number. Therefore, the correct statement is: If |w - 7| < -3, then the statement is always false.
Please note that for option B, there is no need to correct the underlined portion because the statement as a whole is false.